A second-order accurate in time implicit-explicit (IMEX) integration scheme for sea ice dynamics

DOI10.1016/j.jcp.2014.01.010zbMath1349.86006OpenAlexW2037621377WikidataQ109921060 ScholiaQ109921060MaRDI QIDQ348931

Martin Losch, Claude Girard, Jean-François Lemieux, Dana A. Knoll

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.01.010

zbMATH Keywords

Newton-Krylov methodsea icenumerical accuracybackward differenceIMEX method

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to geophysics (86-08) Geological problems (86A60)

Related Items

Sea-ice dynamics on triangular grids, A communication-avoiding implicit-explicit method for a free-surface ocean model, Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods, Implementation of Newton's method with an analytical Jacobian to solve the 1D sea ice momentum equation, A finite element multigrid-framework to solve the sea ice momentum equation, Improving numerical accuracy for the viscous-plastic formulation of sea ice, Parallel implementation of a Lagrangian-based model on an adaptive mesh in C++: application to sea-ice, Improving the Jacobian free Newton-Krylov method for the viscous-plastic sea ice momentum equation, An implicit-explicit time discretization scheme for second-order semilinear wave equations with application to dynamic boundary conditions

Uses Software

• Trilinos
• MITgcm

Cites Work

• A parallel Jacobian-free Newton-Krylov solver for a coupled sea ice-ocean model
• A second order self-consistent IMEX method for radiation hydrodynamics
• A globally convergent Newton-GMRES method for large sparse systems of nonlinear equations
• A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems
• Improving the numerical convergence of viscous-plastic sea ice models with the Jacobian-free Newton-Krylov method
• Jacobian-free Newton-Krylov methods: a survey of approaches and applications.
• An overview of the Trilinos project
• Choosing the Forcing Terms in an Inexact Newton Method
• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• Viscous-plastic sea ice dynamics with the EVP model: Linearization issues